Intelligent Numerical Methods: Applications to Fractional Calculus (Studies in Computational Intelligence, 624)

Anastassiou, George A.

ISBN 10: 3319800035 / ISBN 13: 9783319800035

Published by Springer, 2019

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Bibliographic Details

• Title: Intelligent Numerical Methods: Applications to Fractional Calculus (Studies in Computational Intelligence, 624)
• Publisher: Springer
• Publication Date: 2019
• Language: English
• ISBN 10: 3319800035
• ISBN 13: 9783319800035
• Binding: Soft cover
• Condition: New

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Synopsis

In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That is among others extending the classical Newton method theory which requires usual differentiability of function.

Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book. An extensive list of references is given per chapter. The book’s results are expected to find applications in many areas of applied mathematics, stochastics, computer science and engineering.As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.